Well all my reasoning was good but for the formula which is actually

F = z || (y && x)              :-)

Mea culpa I didn't see that the ladder choices are reversed. I let
other people try showing that the group is alive in John's initial
problem (last move was  B capture at x, the lower side ko).

--Marcel

On 23 June 2018 at 00:06, Marcel Crasmaru <crasma...@gmail.com> wrote:
> OK I think there is one  thing to be done to make the solution longer:
>
> 1. mark the middle ko and then
> 2. problem should be: B just captured in the middle ko and W is to
> move - is the group alive?
>
> See here: 
> https://drive.google.com/file/d/1J5Xn4XkOqSsYx0AEBQJj6EL-SjNqNq-o/view?usp=sharing
>
> Assuming x is the top ko, y the middle one etc. the problem is then
> equivalent to
> F = z && (y || x) with (x = 1, y = 0, z = 0, F is false) and W cannot play at 
> y.
>
> As F is false W has to take the ko at z (x = 1, y = 0, z = 1, F becomes true)
> B takes at x (x = 0, y = 0, z = 1 F is false)
> W takes at y (x = 0, y = 1, z = 1, F true),
> B takes at z (x = 0, y = 1, z = 0, F false) and W is dead as no matter
> what W does F remains false (equivalent to ladders failing for W).
>
> --Marcel
>
> On 22 June 2018 at 22:27, Marcel Crasmaru <crasma...@gmail.com> wrote:
>> Errata: assuming x is the top ko then the formula encoded by this problem is
>>
>> z && (y || x)
>>
>> with x = 1, y = 0, z = 0 and W cannot play at z. Thus W is already
>> dead you cannot  make the formula true.
>>
>> --Marcel
>>
>> On 22 June 2018 at 22:19, Marcel Crasmaru <crasma...@gmail.com> wrote:
>>> The position looks OK is great  - I didn't find any side solutions.
>>> Just one observation: I think this encodes x && y || y || z and W is
>>> dead already  thus is arguably a easier problem :)
>>>
>>>  Should make for a great wall poster.
>>>
>>> On 22 June 2018 at 19:48, John Tromp <john.tr...@gmail.com> wrote:
>>>>>>>> at the bottom of my Go page http://tromp.github.io/go.html, which also
>>>>>>>> contains an sgf link.
>>>>>>>> Direct link to image: http://tromp.github.io/img/WO5lives.png
>>>>
>>>> Enlarging the board to 29x29 allows for a much better final (I hope)
>>>> look, close to my first attempt.
>>>>
>>>> -John
>>>> _______________________________________________
>>>> Computer-go mailing list
>>>> Computer-go@computer-go.org
>>>> http://computer-go.org/mailman/listinfo/computer-go
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